"polynomial function" meaning in All languages combined

See polynomial function on Wiktionary

Noun [English]

Forms: polynomial functions [plural]
Head templates: {{en-noun}} polynomial function (plural polynomial functions)
  1. (mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.) Categories (topical): Mathematics Related terms: polynomial form Translations ((mathematics)): 多項式函數 (Chinese Mandarin), 多项式函数 (duō xiàng shì hán shù) (Chinese Mandarin), polynomifunktio (Finnish), fonction polynomiale [feminine] (French), polinomfüggvény (Hungarian)
    Sense id: en-polynomial_function-en-noun-BOL7vmPC Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for polynomial function meaning in All languages combined (2.3kB)

{
  "forms": [
    {
      "form": "polynomial functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "polynomial function (plural polynomial functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)"
      ],
      "id": "en-polynomial_function-en-noun-BOL7vmPC",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "value",
          "value"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "integral domain",
          "integral domain"
        ],
        [
          "constant function",
          "constant function"
        ],
        [
          "identity function",
          "identity function"
        ],
        [
          "multivariate",
          "multivariate"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)"
      ],
      "related": [
        {
          "word": "polynomial form"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "(mathematics)",
          "word": "多項式函數"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "duō xiàng shì hán shù",
          "sense": "(mathematics)",
          "word": "多项式函数"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "(mathematics)",
          "word": "polynomifunktio"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "(mathematics)",
          "tags": [
            "feminine"
          ],
          "word": "fonction polynomiale"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "(mathematics)",
          "word": "polinomfüggvény"
        }
      ]
    }
  ],
  "word": "polynomial function"
}
{
  "forms": [
    {
      "form": "polynomial functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "polynomial function (plural polynomial functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "polynomial form"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "value",
          "value"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "integral domain",
          "integral domain"
        ],
        [
          "constant function",
          "constant function"
        ],
        [
          "identity function",
          "identity function"
        ],
        [
          "multivariate",
          "multivariate"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "(mathematics)",
      "word": "多項式函數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "duō xiàng shì hán shù",
      "sense": "(mathematics)",
      "word": "多项式函数"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "(mathematics)",
      "word": "polynomifunktio"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "(mathematics)",
      "tags": [
        "feminine"
      ],
      "word": "fonction polynomiale"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "(mathematics)",
      "word": "polinomfüggvény"
    }
  ],
  "word": "polynomial function"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-27 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.